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Finding the Fourth Proportional to 105,430.52, 145,494.02 and 57,683.90

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Solution

The fourth proportional to 105,430.52, 145,494.02 and 57,683.90 is: 79,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430.52 : 145,494.02 = 57,683.90 : x
  2. Step 2: Convert to fraction form
    105,430.52/145,494.02 = 57,683.90/x
  3. Step 3: Cross multiply
    105,430.52x = 145,494.02 × 57,683.90
  4. Step 4: Simplify right side
    105,430.52x = 8,392,662,500.28
  5. Step 5: Solve for x
    x = 8,392,662,500.28/105,430.52
  6. Step 6: Final answer
    x = 79,603.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.